Pour 1/4 cup strawberry-flavor milk into a 1- to 1 1/2-quart pan; sprinkle with unflavored gelatin. Stir over medium-low heat until gelatin is dissolved, about 5 minutes.
Remove from heat and stir in an additional 2 3/4 cups strawberry-flavor milk and rose-flower water (optional). Pour equally into 5- to 6-ounce bowls. Cover and chill until set, about 2 hours, or up to 1 day.
In a small bowl, stir strawberry jam to soften, then dot evenly onto puddings.